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The image on the right shows a package for jelly beans - Leaving Cert DCG - Question C-3 - 2016
Question C-3
The image on the right shows a package for jelly beans. The package consists of a cardboard transition piece connecting a square base to a circular top. This transit... show full transcript
Worked Solution & Example Answer:The image on the right shows a package for jelly beans - Leaving Cert DCG - Question C-3 - 2016
Step 1
Draw the given plan and elevation to include the straight line elements on the curved surfaces as shown.
Answer
To complete this part, start with the square base positioned parallel to the XY plane and include the circular top. Clearly indicate the transitions using straight lines between the specified points. Ensure to label all relevant sections and maintain accuracy in angles and proportions according to the scale provided.
Step 2
Draw the true shape of ACE and determine the true length of AF, showing all necessary constructions.
Answer
- Begin by representing line AC in true length. Draw a horizontal line from A and mark points C and E accordingly.
- Use triangulation to establish point E, considering the dimensions of the shape ACE.
- Utilize a compass to accurately measure the distance from A to F, ensuring it corresponds with the curvature and maintains structural integrity. Confirm final lengths using appropriate geometric techniques.
Step 3
Hence, draw the given partial surface development of the transition piece.
Answer
- Begin by marking the relevant points from earlier sections on the development diagram.
- Use straight lines to extend the partial surfaces, ensuring to maintain scale and proportion throughout.
- Highlight areas indicating the transition from the square base to the circular top, completing the development in a clear and concise manner.
Step 4
Determine the dihedral angle between surfaces ABC and ABD.
Answer
- Establish the line of intersection (AB) in an auxiliary view, marking it clearly to visualize the relationship between surfaces.
- Draw the triangular lamina ABC and ABD perpendicular to the established line, facilitating the angle measurement.
- Utilize a protractor or appropriate methods to accurately measure and indicate the dihedral angle formed between the two surfaces.